428666400
428,666,400 is an even composite number composed of five prime numbers multiplied together.
428666400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 428666400:
25 × 32 × 52 × 29 × 2053
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 29 × 2053)See below for interesting mathematical facts about the number 428666400 from the Numbermatics database.
Names of 428666400
- Cardinal: 428666400 can be written as Four hundred twenty-eight million, six hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.286664 × 108
Factors of 428666400
Divisors of 428666400
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 72 75 80 87 90 96 100 116 120 144 145 150 160 174 180 200 225 232 240 261 288 290 300 348 360 400 435 450 464 480 522 580 600 696 720 725 800 870 900 928 1044 1160 1200 1305 1392 1440 1450 1740 1800 2053 2088 2175 2320 2400 2610 2784 2900 3480 3600 4106 4176 4350 4640 5220 5800 6159 6525 6960 7200 8212 8352 8700 10265 10440 11600 12318 13050 13920 16424 17400 18477 20530 20880 23200 24636 26100 30795 32848 34800 36954 41060 41760 49272 51325 52200 59537 61590 65696 69600 73908 82120 92385 98544 102650 104400 119074 123180 147816 153975 164240 178611 184770 197088 205300 208800 238148 246360 295632 297685 307950 328480 357222 369540 410600 461925 476296 492720 535833 591264 595370 615900 714444 739080 821200 893055 923850 952592 985440 1071666 1190740 1231800 1428888 1478160 1488425 1642400 1786110 1847700 1905184 2143332 2381480 2463600 2679165 2857776 2956320 2976850 3572220 3695400 4286664 4465275 4762960 4927200 5358330 5715552 5953700 7144440 7390800 8573328 8930550 9525920 10716660 11907400 13395825 14288880 14781600 17146656 17861100 21433320 23814800 26791650 28577760 35722200 42866640 47629600 53583300 71444400 85733280 107166600 142888800 214333200 428666400
- Sum of all divisors σ(n): 1564470180
- Sum of proper divisors (its aliquot sum) s(n): 1135803780
- 428666400 is an abundant number, because the sum of its proper divisors (1135803780) is greater than itself. Its abundance is 707137380
Bases of 428666400
- Binary: 110011000110011101110001000002
- Hexadecimal: 0x198CEE20
- Base-36: 737T40
Squares and roots of 428666400
- 428666400 squared (4286664002) is 183754882488960000
- 428666400 cubed (4286664003) is 78769543958965522944000000
-
The
square root of 428666400 is 20704.2604311287 -
The
cube root of 428666400 is 754.0031286003
Scales and comparisons
How big is 428666400?- 428,666,400 seconds is equal to 13 years, 32 weeks, 5 days, 10 hours.
-
To count from 1 to 428,666,400 would take you about twenty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 428666400 cubic inches would be around 62.8 feet tall.
Recreational maths with 428666400
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The information we have on file for 428666400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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